26.7 is what percent of 180.4 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 180.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 180.4, so we can write it down as 100%=180.4.
4. We know, that x% equals 26.7 of the output value, so we can write it down as x%=26.7.
5. Now we have two simple equations:
1) 100%=180.4
2) x%=26.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=180.4/26.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.7 is what percent of 180.4

100%/x%=180.4/26.7
(100/x)*x=(180.4/26.7)*x       - we multiply both sides of the equation by x
100=6.7565543071161*x       - we divide both sides of the equation by (6.7565543071161) to get x
100/6.7565543071161=x
14.80044345898=x
x=14.80044345898

now we have:
26.7 is 14.80044345898% of 180.4